矩陣錐的研究

In 2010 fall, Professor Sun Defeng introduced us the concept of matrix cone which is an extension of Second Order Cone (SOC). He also demonstrated several application on matrix cone.Professor Sun Defeng points out this new topic has a lots of applications. Up to now the first order differentiability of metric projector on matrix cone has been studied such as: closed form solution, calm B-differentiability and strong semismoothness. Base on these we can develop algorithm on matrix cone by analogy of second order cone.